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The equation of a progressive wave is y=...

The equation of a progressive wave is `y=8 sin [ pi ((t)/(10)-(x)/(4))+(pi)/(3)]`. The wavelength of the wave is

A

8 m

B

4 m

C

2 m

D

10 m

Text Solution

Verified by Experts

The correct Answer is:
A
The given equation is, `y=8 sin [pi (t/10-x/4)+pi/3]m`
`=8 sin [2 pi (t/20-x/8)+pi/3] m` ...(i)
The standard equation is, `y=A sin 2pi (t/T-x/lambda+phi)` ...(ii)
Now, comparing the given Eq. (i) with standard Eq. (ii), we get, `lambda =8 m`
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